Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Probability

Question:

From a pack of 52 cars all kings and queens are removed. Remaining cards are well shuffled and a card is drawn. What is the probability that it is a Red Jack ?

Options:

$\frac{1}{26}$

$\frac{1}{11}$

$\frac{1}{13}$

$\frac{1}{22}$

Correct Answer:

$\frac{1}{22}$

Explanation:

A standard deck of cards contains 4 kings and 4 queens.

Total kings and queens = 4 (kings) + 4 (queens) = 8 cards.

Find the number of remaining cards after removing the kings and queens:

Initially, there are 52 cards in total.

After removing 8 cards (kings and queens), the remaining number of cards is: 52−8=44 cards

Total number of red  Jacks = 2

So, the probability that it is a Red Jack = \(\frac{2}{44}\) = $\frac{1}{22}$